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Finding the Fourth Proportional to 289,724.60, 434,586.90 and 264,841.40

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Solution

The fourth proportional to 289,724.60, 434,586.90 and 264,841.40 is: 397,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,724.60 : 434,586.90 = 264,841.40 : x
  2. Step 2: Convert to fraction form
    289,724.60/434,586.90 = 264,841.40/x
  3. Step 3: Cross multiply
    289,724.60x = 434,586.90 × 264,841.40
  4. Step 4: Simplify right side
    289,724.60x = 115,096,603,017.66
  5. Step 5: Solve for x
    x = 115,096,603,017.66/289,724.60
  6. Step 6: Final answer
    x = 397,262.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.